Question

Express (27m)^2/3 in its most simplified form.

Answer 1

(27m) ^2/3 hope this helps

Answer 2

`{(27m)}^{ (2)/(3) } \\ \\ = {(3 {}^(3)m) }^{ (2)/(3) } \\ \\ = ( {3}^(3) ) {}^{ (2)/(3) } * {m}^{ (2)/(3) } \\ \\ = {3}^{ (6)/(3) } * {m}^{ (2)/(3) } \\ \\ = {3}^(2) * {m}^{ (2)/(3) } \\ \\ = 9 {m}^{ (2)/(3) } \\ \\ = 9 \sqrt[3]{ {m}^(2) }`